Solar System DynamicsCambridge University Press, 13/02/2000 The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica® software package are provided. Solar System Dynamics provides an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics. |
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الصفحة 16
... circle , then by treating each value of c as a unit vector Ĉi ( cos c , sin c ; ) and comparing the magnitude of the sum of the unit vectors , ĉ , with √N , where N is the number of vectors or ratios , we find that / √N = 1.01 , which ...
... circle , then by treating each value of c as a unit vector Ĉi ( cos c , sin c ; ) and comparing the magnitude of the sum of the unit vectors , ĉ , with √N , where N is the number of vectors or ratios , we find that / √N = 1.01 , which ...
الصفحة 26
... circle : ellipse : parabola : hyperbola : + u = μ d02 h2 This is a second - order , linear differential equation with a general solution [ 1 + e cos ( 0 - w ) ] , h d2u -0 d02 = e = 0 , 0 < e < 1 , e = 1 , e > 1 , -h2 u2 α2u d02 ( 2.14 ) ...
... circle : ellipse : parabola : hyperbola : + u = μ d02 h2 This is a second - order , linear differential equation with a general solution [ 1 + e cos ( 0 - w ) ] , h d2u -0 d02 = e = 0 , 0 < e < 1 , e = 1 , e > 1 , -h2 u2 α2u d02 ( 2.14 ) ...
الصفحة 27
Carl D. Murray, Stanley F. Dermott. apocentre b ellipse hyperbola circle Fig . 2.4 . The intersections of planes at different angles with the surface of a cone form the family of curves known as the conic sections . empty focus ae ...
Carl D. Murray, Stanley F. Dermott. apocentre b ellipse hyperbola circle Fig . 2.4 . The intersections of planes at different angles with the surface of a cone form the family of curves known as the conic sections . empty focus ae ...
الصفحة 32
... circle , radius a , that is concentric with an orbital ellipse of semi - major axis a and eccentricity e ( see Fig ... circle . We can define E , the eccentric anomaly , to be the angle between the major axis of the ellipse and the ...
... circle , radius a , that is concentric with an orbital ellipse of semi - major axis a and eccentricity e ( see Fig ... circle . We can define E , the eccentric anomaly , to be the angle between the major axis of the ellipse and the ...
الصفحة 33
... circle . Hence , E = 0 corresponds to f = 0 and E = π corresponds to ƒ = л . The equation of a centred ellipse in rectangular coordinates is and ( 2.40 ) = But from Fig . 2.7 we have xa cos E and therefore y2 = b2 sin2 E and hence from ...
... circle . Hence , E = 0 corresponds to f = 0 and E = π corresponds to ƒ = л . The equation of a centred ellipse in rectangular coordinates is and ( 2.40 ) = But from Fig . 2.7 we have xa cos E and therefore y2 = b2 sin2 E and hence from ...
المحتوى
LXVIII | 261 |
LXIX | 264 |
LXX | 270 |
LXXI | 274 |
LXXII | 279 |
LXXIII | 283 |
LXXIV | 289 |
LXXV | 293 |
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XIX | 54 |
XX | 57 |
XXI | 60 |
XXII | 63 |
XXIII | 64 |
XXIV | 68 |
XXV | 71 |
XXVI | 74 |
XXVII | 77 |
XXVIII | 83 |
XXIX | 95 |
XXX | 97 |
XXXI | 102 |
XXXII | 107 |
XXXIII | 110 |
XXXIV | 115 |
XXXV | 121 |
XXXVI | 128 |
XXXVII | 130 |
XXXVIII | 131 |
XXXIX | 136 |
XL | 140 |
XLI | 149 |
XLII | 153 |
XLIII | 155 |
XLIV | 158 |
XLV | 160 |
XLVI | 166 |
XLVII | 174 |
XLVIII | 175 |
XLIX | 178 |
L | 183 |
LI | 186 |
LII | 189 |
LIII | 194 |
LIV | 200 |
LV | 210 |
LVI | 215 |
LVII | 217 |
LVIII | 222 |
LIX | 225 |
LX | 226 |
LXI | 228 |
LXII | 233 |
LXIII | 238 |
LXIV | 246 |
LXV | 248 |
LXVI | 251 |
LXVII | 253 |
LXXVI | 299 |
LXXVII | 302 |
LXXVIII | 307 |
LXXIX | 309 |
LXXX | 314 |
LXXXI | 317 |
LXXXII | 318 |
LXXXIII | 321 |
LXXXIV | 326 |
LXXXV | 328 |
LXXXVI | 332 |
LXXXVII | 334 |
LXXXVIII | 337 |
LXXXIX | 341 |
XC | 364 |
XCI | 371 |
XCII | 373 |
XCIII | 375 |
XCIV | 385 |
XCV | 387 |
XCVI | 390 |
XCVII | 394 |
XCVIII | 396 |
XCIX | 399 |
C | 402 |
CI | 405 |
CII | 406 |
CIII | 409 |
CIV | 410 |
CV | 413 |
CVI | 421 |
CVII | 428 |
CVIII | 448 |
CIX | 452 |
CX | 456 |
CXI | 466 |
CXII | 469 |
CXIII | 471 |
CXIV | 474 |
CXVII | 475 |
CXVIII | 481 |
CXIX | 492 |
CXX | 495 |
CXXI | 512 |
CXXII | 515 |
CXXIII | 518 |
CXXIV | 520 |
CXXV | 522 |
CXXVI | 524 |
CXXVII | 526 |
CXXVIII | 527 |
CXXIX | 529 |
CXXX | 530 |
CXXXI | 535 |
CXXXII | 539 |
CXXXIII | 557 |
CXXXIV | 577 |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
amplitude angle angular approach approximate argument associated assume asteroid body calculate centre chaotic circle circular close consider constant corresponding curves defined denote derived determined direction distance disturbing function dynamics Earth eccentricity effect encounter energy equal equations equilibrium points evolution example expansion expression follows force frame function given gives gravitational Hamiltonian Hence inclination increase initial inner integration Jupiter libration longitude mass mean motion moving Note numerical objects observed obtain occur orbit origin outer particle path pericentre period perturbations planet planetary plot position possible potential problem quantities radial radius reference relation resonance respectively ring rotating satellite Saturn Sect secular semi-major axis shown in Fig solar system solution stable surface Table theory tidal tide trajectory values variation vector write